Factorisation of Algebraic Expressions by Grouping
Expressions containing four or more terms can be factorised by the method of grouping. In this method, the terms are divided into groups such that the terms in each group have a common factor.
ax + ay + bx + by = a(x + y) + b(x + y)
= (x+y)(a+b)
a) 3px - 9py - 4qx + 12 qy
= 3p(x - 3y) - 4q(x - 3y)
(Extract common factor x+y)
=(x - 3y)(3p - 4q)
No comments:
Post a Comment